Quantitative Approximation: Proceedings of a Symposium on Quantitative Approximation Held in Bonn, West Germany, August 20-24, 1979

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Ronald A. DeVore, Karl Scherer
Academic Press, 1980 - Mathematics - 324 pages
On an inequality for the sharp function; On the best co-approximation in a Hilbert Space; What is the main diagonal of a biinfinite band matrix? Rational approximation and exotic Lipschitz Spaces; Some mathematical properties of empirical gibbs functions; Multivariate interpolation and the Radon transform, part II: Some further examples; Lacunary trigonometric interpolation on equidistant nodes; Monotone approximation by spline functions; Approximation by smooth multivariate splines on nonuniform grids; Approximation by small rank tensor products of splines; Variables knot, variable degree spline approximation to XB; On sharp necessary conditions for radial fourier multipliers; Approximating bivariate functions and matrices by nomographic functions; Diameters of classes of smooth functions; On estimates of diameters; Bounds for the error in trignometric hermite interpolation.

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Contents

On the Best Coapproximation in a Hilbert Space
7
Rational Approximation and Exotic Lipschitz Spaces
25
Some Mathematical Properties of Empirical Gibbs Functions
31
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